Date of Award


Degree Type

Master's Essay - Restricted

Degree Name

Master of Science (MS)


Mathematical and Statistical Sciences


An approach to the problem of interpreting the geometry of a four-space may be made in several ways, perhaps the most common being through the use of direction numbers and normals, or through the use of parametric equations, which are of special usefulness for the complete geometry of a four-space. However, since the considerations here will be restricted to points, and to the uncurved configurations in the four-space (lines, planes, and flats), the use of ordinary linear equations developed from an extension of the rectangular coordinate system seems most satisfactory.